Question

(5 1/4-4 21/40):1 9/20-(7 1/5-6 7/8):3/4= 3/4:5/6+1:1 1/9-2 1/2×2/5=

Answer 1

Ответ:

Пошаговое объяснение:

1 пример:

1) 5. 1/4 - 4. 21/40 =

5. 10/40 - 4. 21/40 =

4. 50/40 - 4. 21/40 =

29/40

2) 29/40 : 1. 9/20 =

29/40 : 29/20 = 29/40 * 20/29 = 20/40 = 1/2

3) 7. 1/5 - 6. 7/8 =

7. 8/40 - 6. 35/40 =

6. 48/40 - 6. 35/40 =

13/40

4) 13/40 : 3/4 = 13/40 * 4/3 = 13/10 * 1/3 = 13/30

5) 1/2 - 13/30 = 15/30 - 13/30 = 2/30 = 1/15

Ответ: 1/15

2 пример:

1) 3/4 : 5/6 = 3/4 * 6/5 =

18/20 = 9/10

2) 1 : 1. 1/9 = 1 : 10/9 =

1 * 9/10 = 9/10

3) 2. 1/2 * 2/5 = 5/2 * 2/5 = 1

4) 9/10 + 9/10 = 18/10 = 9/5 = 1. 4/5

5) 1. 4/5 - 1 = 4/5

Ответ : 4/5

Answer 2

Ответ:

Пошаговое объяснение:

1) 5 1/4-4 21/40=5 10/40-4 21/40=29/40

29/40:1 9/20=29/40*20/29=1/2

7 1/5-6 7/8=7 8/40-6 35/40=13/40

13/40:3/4=13/40*4/3=13/30

1/2-13/30=15/30-13/30=2/30=1/15

2) 3/4:5/6=3/4*6/5=9/10

1:1 1/9=1*9/10=9/10

2 1/2×2/5==5/2*2/5=1

9/10+9/10=18/10=1 4/5

1 4/5-1=4/5

Answer 3

Let's break down the expression step by step:

1. 5 1/4 - 4 21/40: To subtract mixed numbers, first convert them to improper fractions.

   • 5 1/4 = (4 * 5 + 1) / 4 = 21/4
   • 4 21/40 = (40 * 4 + 21) / 40 = 181/40

   Now subtract: 21/4 - 181/40

   To subtract fractions, you need a common denominator, which is 40 in this case. So, we need to make the denominators the same:

   • 21/4 = (21 * 10) / (4 * 10) = 210/40

   Now we can subtract:

   210/40 - 181/40 = 29/40

2. 1 9/20 - (7 1/5 - 6 7/8): Let's start by simplifying the expression within the parentheses:

   • 7 1/5 = 36/5
   • 6 7/8 = 55/8

   Now subtract 36/5 - 55/8:

   To subtract fractions, you need a common denominator. In this case, the common denominator is 40 (5 * 8). So, convert both fractions to have a denominator of 40:

   • 36/5 = (36 * 8) / (5 * 8) = 288/40
   • 55/8 = (55 * 5) / (8 * 5) = 275/40

   Now, we can subtract:

   288/40 - 275/40 = 13/40

3. 3/4 : 5/6: To divide fractions, you can multiply by the reciprocal of the second fraction.

   • 3/4 ÷ 5/6 = 3/4 * 6/5

   Now, multiply the fractions:

   (3 * 6) / (4 * 5) = 18/20

   Simplify 18/20 to its simplest form:

   18/20 = 9/10

4. 1 : 1 1/9: To divide a whole number by a mixed number, convert the whole number to a fraction:

   • 1 = 1/1

   Now, divide:

   1/1 ÷ 1 1/9 = 1/1 ÷ (10/9)

   To divide by a fraction, you can multiply by its reciprocal:

   1/1 * 9/10 = (1 * 9) / (1 * 10) = 9/10

5. 2 1/2 × 2/5: To multiply mixed numbers, convert them to improper fractions:

   • 2 1/2 = 5/2

   Now, multiply:

   (5/2) * (2/5)

   Multiply the numerators and denominators:

   (5 * 2) / (2 * 5) = 10/10

   Simplify 10/10 to its simplest form:

   10/10 = 1

Now, let's put it all together:

(29/40) - (13/40) + (9/10) + (1) = 29/40 - 13/40 + 9/10 + 1

Combine the fractions:

(29/40 - 13/40) + 9/10 + 1

(16/40) + 9/10 + 1

Simplify 16/40 to its simplest form:

(2/5) + 9/10 + 1

Now, find a common denominator:

2/5 = 4/10

So, the expression becomes:

(4/10) + 9/10 + 1

Now, add the fractions:

(4/10 + 9/10) + 1

(13/10) + 1

Now, add the mixed number to the fraction:

1 and 3/10

So, the final result is 1 3/10.